STEP Questions Database

2005

Step: 3

Question: 12 Sum of random variables (05-S3-Q12)

Question: 13 Pack of cards (05-S3-Q13)

Question: 14 Continuous random variable (05-S3-Q14)

2004

Step: 1

Question: 1 Surds and polynomials (04-S1-Q1)

Question: 2 Curve sketching (04-S1-Q2)

Question: 3 Factors of polynomials (04-S1-Q3)

Question: 4 Integration by substitution (04-S1-Q4)

Question: 5 Number theory (04-S1-Q5)

Question: 6 Coordinate geometry (04-S1-Q6)

Question: 7 Recurrence relation (04-S1-Q7)

Question: 8 Recurrence relations (04-S1-Q8)

Question: 9 Projectile motion (04-S1-Q9)

Question: 10 Time-distance (04-S1-Q10)

Question: 11 Friction (04-S1-Q11)

Question: 12 Microships (04-S1-Q12)

Question: 13 Hypothesis testing (04-S1-Q13)

Question: 14 Pirates (04-S1-Q14)

Step: 2

Question: 1 Surds (04-S2-Q1)

Question: 2 Quadratic function (04-S2-Q2)

Question: 3 Curve sketching (04-S2-Q3)

Question: 4 Euclidean geometry (04-S2-Q4)

Question: 5 Integration (04-S2-Q5)

Question: 6 Vector geometry (04-S2-Q6)

Question: 7 Interval bisection (04-S2-Q7)

Question: 8 Differential equations (04-S2-Q8)

Question: 9 Centre of gravity (04-S2-Q9)

Question: 10 Inclined plane (04-S2-Q10)

Question: 11 Work and power (04-S2-Q11)

Question: 12 Pdf (04-S2-Q12)

Question: 13 Balls from bags (04-S2-Q13)

Question: 14 Probability with sets (04-S2-Q14)

Step: 3

Question: 1 Integration by substitution (04-S3-Q1)

Question: 2 Curve sketching (04-S3-Q2)

Question: 3 Analysis (04-S3-Q3)

Question: 4 Euclidean geometry (04-S3-Q4)

Question: 5 Trigonometry (04-S3-Q5)

Question: 6 Recurrence relations (04-S3-Q6)

Question: 7 Integration by parts (04-S3-Q7)

Question: 8 Differential equation (04-S3-Q8)

Question: 9 Circular Motion (04-S3-Q9)

Question: 10 Hooke's Law (04-S3-Q10)

Question: 11 Repulsive force (04-S3-Q11)

Question: 12 Approximations (04-S3-Q12)

Question: 13 Tree diagram (04-S3-Q13)

Question: 14 Hypothesis testing (04-S3-Q14)

2003

Step: 1

Question: 1 Sum (03-S1-Q1)

Question: 2 Solution to equations (03-S1-Q2)

Question: 3 Trigonometry (03-S1-Q3)

Question: 4 Inequality (03-S1-Q4)

Question: 5 Binomial expansion (03-S1-Q5)

Useful Links

Underground Mathematics: Selected worked STEP questions

STEP Question database

University of Cambridge Mathematics Faculty: What do we look for?

University of Cambridge Mathematics Faculty: Information about STEP

University of Cambridge Admissions Office: Undergraduate course information for Mathematics

Stephen Siklos' "Advanced Problems in Mathematics" book (external link)

MEI: Worked solutions to STEP questions (external link)

OCR: Exam board information about STEP (external link)

AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)

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STEP Support Programme

2005

Step: 3

2004

Step: 1

Step: 2

Step: 3

2003

Step: 1

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